5 Minute Check Find the function rule and the value of the 12
th term. Complete in your notebook. 1. 2. 3. 4. Position(n)123
Value of Term567 Position(n)123 Value of Term246 Position(n)345
Value of Term121314 Position(n)567 Value of Term345
Slide 2
5 Minute Check Find the function rule and the value of the 12
th term. Complete in your notebook. 1. Position(n)123 Value of
Term567
Slide 3
5 Minute Check Find the function rule and the value of the 12
th term. Complete in your notebook. 1. n + 4 n = 12 12 + 4 = 16
Position(n)123 Value of Term567
Slide 4
5 Minute Check Find the function rule and the value of the 12
th term. Complete in your notebook. 2. Position(n)123 Value of
Term246
Slide 5
5 Minute Check Find the function rule and the value of the 12
th term. Complete in your notebook. 2. 2n n = 12 2 12 = 24
Position(n)123 Value of Term246
Slide 6
5 Minute Check Find the function rule and the value of the 12
th term. Complete in your notebook. 3. Position(n)345 Value of
Term121314
Slide 7
5 Minute Check Find the function rule and the value of the 12
th term. Complete in your notebook. 3. n + 9 n = 12 12 + 9 = 21
Position(n)345 Value of Term121314
Slide 8
5 Minute Check Find the function rule and the value of the 12
th term. Complete in your notebook. 4. Position(n)567 Value of
Term345
Slide 9
5 Minute Check Find the function rule and the value of the 12
th term. Complete in your notebook. 4. n - 2 n = 12 12 2 = 10
Position(n)567 Value of Term345
Slide 10
Friday, Nov 21 Lesson 6.8.3 Functions and Equations
Slide 11
Flashcards
Slide 12
Slide 13
Slide 14
Slide 15
Function and Equations Objective: Construct and analyze
different verbal, graphical and algebraic representations of
functions. You will need your graph paper for todays lesson.
Slide 16
Function and Equations Find the function rule.
Slide 17
Function and Equations Find the function rule. 9x
Slide 18
Function and Equations Find the function rule. 9x We can write
this function rule as the following equation: y = 9x
Slide 19
Function and Equations Find the function rule. y = 9x These
equations will always have the y- variable on the left side and the
x-variable on the right side. (it may have addition constants on
the right side)
Slide 20
Function and Equations Write an equation to represent the
function shown in the table. Do this on your own.
Slide 21
Function and Equations Write an equation to represent the
function shown in the table. y = 16x
Slide 22
Function and Equations Write an equation to represent the
function shown in the table. Do this on your own.
Slide 23
Function and Equations Write an equation to represent the
function shown in the table. y = x + 3
Slide 24
Function and Equations Equations can also be graphed on a
coordinate plane. When graphing the function, the input is the
x-coordinate and the output is the y-coordinate.
Slide 25
Function and Equations A linear function is a function when
graphed is a straight line.
Slide 26
Function and Equations Graph y = 2x. How to Graph an Equation.
Step 1 Create a table with the x-values and y-values. Since we are
not given the values for x, we start at zero (since the x-axis
starts at zero) and increase by whole numbers. The table should
contain at least 3 values for x.
Slide 27
Function and Equations Graph y = 2x. How to Graph an Equation.
Step 1 Create a table with the x-values and y-values. xy 00 12
24
Slide 28
Function and Equations Graph y = 2x. How to Graph an Equation.
Step 2 Graph each ordered pair and connect all points with a line.
xy 00 12 24
Slide 29
Function and Equations Graph y = 2x. How to Graph an Equation.
Step 2 Graph each ordered pair and connect all points with a line.
xy 00 12 24
Slide 30
Function and Equations Graph y = 2x. This is a linear graph
since it is a straight line. xy 00 12 24
Slide 31
Function and Equations Graph y = x + 1. Do this on your
own.
Slide 32
Function and Equations Graph y = x + 1. xy 01 12 23
Slide 33
Function and Equations Graph y = 3x + 2. Do this on your
own.
Slide 34
Function and Equations Graph y = 3x + 2. xy 02 15 28
Slide 35
Function and Equations Graph y = x Do this on your own.
Slide 36
Function and Equations Graph y = x xy 00 11 24 39
Slide 37
Function and Equations Find the equation for the graph. Hint
make a list of ordered pairs first.
Slide 38
Function and Equations Find the equation for the graph. y = x +
3 xy 03 14 25
Slide 39
Function and Equations Find the equation for the graph.
Slide 40
Function and Equations Find the equation for the graph. y = 10x
xy 00 110 220
Slide 41
Function and Equations Find the equation for the graph.
Slide 42
Function and Equations Find the equation for the graph. y = 3x
+ 2 xy 02 15 2?
Slide 43
Function and Equations Find the equation for the graph.
Slide 44
Function and Equations Find the equation for the graph. y = x 2
or y = x/2 xy 00 21 42
Slide 45
Function and Equations Find the equation for the graph.
Slide 46
Function and Equations Find the equation for the graph. y = x +
0.5 xy 00.5 11.5 22.5
Slide 47
Function and Equations Marcus constructed the graph shown,
which shows the height of his cactus after several years of growth.
Make a function table for the input-output values and write an
equation to represent the graph. Do this on your own.
Slide 48
Function and Equations Marcus constructed the graph shown,
which shows the height of his cactus after several years of growth.
Make a function table for the input-output values and write an
equation to represent the graph. y = 2x + 40
Slide 49
Function and Equations The graph shows the number of inches of
rainfall (x) equivalent to inches of snow (y). Make a function
table and find the equation to represent the graph. Do this on your
own.
Slide 50
Function and Equations The graph shows the number of inches of
rainfall (x) equivalent to inches of snow (y). Make a function
table and find the equation to represent the graph. y = 10x
Slide 51
Function and Equations Words and equations can be used to
describe functions. For example, when a rate is expressed in words,
it can be written as an equation with variables.
Slide 52
Function and Equations When you write an equation, determine
what variables are to be used to represent the different
quantities.
Slide 53
Function and Equations e.g. A persons total weekly pay is equal
to $10 per hour times the number of hours. Let p = pay, h = hours p
= 10h
Slide 54
Function and Equations The band is holding a car wash. They are
charging $6 for each car they wash. Write an equation to find the
total amount earned t for washing c cars. Can we write this as an
equation?
Slide 55
Function and Equations The band is holding a car wash. They are
charging $6 for each car they wash. Write an equation to find the
total amount earned t for washing c cars. The total amount earned
would $6 times the number of cars washed. t = $6c
Slide 56
Function and Equations In a report, Michelle reads the average
adult watches 4 hours of television each day. Write an equation to
find the total hours of television t in days d. Do this on your
own.
Slide 57
Function and Equations In a report, Michelle reads the average
adult watches 4 hours of television each day. Write an equation to
find the total hours of television t in days d. t = 4d
Slide 58
Function and Equations The student council is holding a car
wash to raise money. They are charging $7 for each car they wash.
Make a function table (for 1,2,3 & 4 cars) and write an
equation to describe the relationship between the cars washed c and
the total amount earned t. Do this on your own.
Slide 59
Function and Equations The student council is holding a car
wash to raise money. They are charging $7 for each car they wash.
Make a function table (for 1,2,3 & 4 cars) and write an
equation to describe the relationship between the cars washed c and
the total amount earned t. t = 7c
Slide 60
Function and Equations The student council is holding a car
wash to raise money. They are charging $7 for each car they wash.
Make a function table (for 1,2,3 & 4 cars) and write an
equation to describe the relationship between the cars washed c and
the total amount earned t. t = 7c Graph the ordered pairs.
Slide 61
Function and Equations The student council is holding a car
wash to raise money. They are charging $7 for each car they wash.
Make a function table (for 1,2,3 & 4 cars) and write an
equation to describe the relationship between the cars washed c and
the total amount earned t. t = 7c Graph the ordered pairs. (1,7),
(2,14), (3, 21), (4, 28)
Slide 62
Function and Equations Maurice receives $3 per week for
allowance and earns an additional $1.75 for each chore he
completes. Write an equation to represent the total amount earned
(t) for chores (c) in one week. Graph the ordered pairs. How much
will he earn if he completes 5 chores in one week? Do this on your
own.
Slide 63
Function and Equations Maurice receives $3 per week for
allowance and earns an additional $1.75 for each chore he
completes. Write an equation to represent the total amount earned
(t) for chores (c) in one week. Graph the ordered pairs. How much
will he earn if he completes 5 chores in one week? t = $3 + $1.75c
If c = 5, t = $3 + $1.75 5 = $3 + $8.75 = $11.75
Slide 64
Function and Equations What equation represents the following
table?
Slide 65
Function and Equations y = (x 2) - 3
Slide 66
Function and Equations Agenda Notes No Homework Homework
Practice 6.8.3 Due at the end of the period Mid-Chapter 6.8 Quiz
Tuesday, Nov 25